Worksheet on Factorization using Formula

In worksheet on factorization using formula we will solve numerous
questions on factorization when a binomial is the difference of two
squares and also on factorization when the given expression is a perfect
square.

I. Worksheet on factorization using formula when a binomial is the difference of two squares:

1. x2 - 36

2. 4a2 - 9

3. 81 - 49x2

4. 4x2 - 9y2

5. 16x2 - 225y2

6. 9x2y2 25

7. 16x2 - 1/144

8. (2a + 3b)2 - 16c2

9. 1 - (b - c)2

10. 9(x + y)2 - x2

11. 25(a + b)2 - 16(a - b)2

12. 20a2 - 45b2

13. x3 - 64x

14. 12x2 - 27

15. 3x5 - 48x3

16. 63a2b2 - 7

17. a2 - 2ab + b2 - c2

18. x2 - y2 - 2y - 1

19. 9x2 - y2 + 4y - 4

20. x2 - 2xy + y2 - z2

21. 25 - a2 - b2 -2ab

22. 16y3 - 4y

23. 3x5 - 48x

24. (3x - 4y)2 - 25z2

25. (2x + 3y)2 - 1

26. 16c2 - (5a + b)2

27. 100 - (x - 5)2

28. Evaluate:

(i) (405)2 - (395)2

(ii) (7.8)2 - (2.2)2

II. Worksheet on factorization using formula when the given expression is a perfect square: